is 2 1726471 - 1
has 519720 decimal digits
takes 0.094 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LCABC0E9A8746686Fdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26834.524169.1176%36422001234567890.80007.9636%35.324171.5770%2.4593%
PrimeNet2570.011163.1579%80001400000.00122.7953%0.012364.1877%1.0298%
GPU722610.177965.5738%70001100000.00101.3447%0.178966.0367%0.4629%
Difference+7+34.3462+3.5439%+3635200+123346789+0.7990+6.6188%+35.1452+5.5403%+5.5403%

Known prime factors (1 factor, 79.1 bits, 0.00458169% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
17264716485663943862806076669912479.102187830086455631345
5 × 11 × 29 × 117761809690051
2020-02-192911776180969005190,333504,698942,635

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2011-02-08T16:02:00Carsten Kossendeyleela900001530000---0.013--2.095%
2014-04-04T00:13:00Jocelyn LaroucheManual testing100000100000---0.008--0.767%
2014-05-04T12:46:00Jocelyn LaroucheManual testing150000150000---0.012--0.970%
2014-10-03T21:04:00Jocelyn LaroucheManual testing187177187177---0.015--1.094%
2015-01-09T22:25:00Jocelyn LaroucheManual testing280765280765---0.022--1.345%
2015-02-11T12:22:00Jocelyn LaroucheManual testing373697373697---0.029--1.541%
2015-02-21T13:42:00Jocelyn LaroucheManual testing411066411066---0.032--1.610%
2015-03-08T04:50:00Jocelyn LaroucheManual testing452172452172---0.036--1.681%
2015-03-15T18:54:00Jocelyn LaroucheManual testing497389497389---0.039--1.754%
2015-04-08T16:59:00Jocelyn LaroucheManual testing601839601839---0.047--1.905%
2015-05-01T17:20:00Jocelyn LaroucheManual testing728224728224---0.057--2.062%
2015-05-07T16:18:00Jocelyn LaroucheManual testing801046801046---0.063--2.144%
2015-05-22T00:28:00Jocelyn LaroucheManual testing881150881150---0.069--2.227%
2015-05-26T18:16:00Jocelyn LaroucheManual testing969265969265---0.076--2.312%
2015-06-08T13:43:00Jocelyn LaroucheManual testing10661911066191---0.084--2.399%
2015-06-25T21:15:00Jocelyn LaroucheManual testing11728101172810---0.092--2.488%
2015-07-07T18:13:00Jocelyn LaroucheManual testing12900911290091---0.101--2.578%
2015-07-21T01:19:00Jocelyn LaroucheManual testing14191001419100---0.112--2.671%
2015-07-24T22:03:00Jocelyn LaroucheManual testing15610101561010---0.123--2.765%
2015-09-04T18:31:00mikrMSI3642200123456789---0.800--7.964%
2018-10-03T11:47:43Jocelyn Larouchelow 4M17264711726471012---0.202--5.311%
2018-10-07T10:38:15Jocelyn Larouchelow 4M17264716905884012---0.424--6.829%
2018-10-12T11:51:00Jocelyn Larouchelow 4M172647117264710012---0.868--7.851%
2018-10-17T22:59:50Jocelyn Larouchelow 4M172647118991181012---0.942--7.959%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2003-02-02T00:00:00ANONYMOUSv4_computers21258--0.022--
2016-02-23T16:28:48Mark RoseManual testing258260--0.067--
2010-04-23T13:38:00Architects Cubedm1_76l260261--0.089--
2016-02-23T16:28:48Mark RoseManual testing261262--0.178--
2010-10-27T20:37:00GrunwalderGIMPManual testing21263--0.924--
2016-02-23T16:28:48Mark RoseManual testing262263--0.569--
2015-05-04T06:23:00snme2pm1Manual testing263264--1.137--
2015-05-04T06:23:00snme2pm1Manual testing264265--2.164--
2015-09-02T13:37:00ramgeisManual testing265266--4.328--
2018-04-09T13:44:24TJAOIManual testing266267--8.657--
2019-06-24T09:36:09TJAOIManual testing267268--17.31--


ECM factoring results:

Old Calculation Method

Total ECM effort:17.226 GHz-days
Estimated T-Level:24.482
DigitsB1CurvesCompleteFacMiss
2011000251 / 1002.5108.025%
2550000251 / 2800.89640.737%

New Calculation Method

Total ECM effort:17.226 GHz-days
Estimated T-Level:24.482
DigitsB1CompleteFacMiss
20110008.0970.030%
25500000.73248.105%
302500000.04595.594%
3510000000.00299.794%


ECM Summary

B1B2factorcurvesGHz-days
50000500000024917.09
50000500000020.137


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-02-07T00:00:00ANONYMOUSv4_computersCABC0E9A8746686F0.094
2015-07-18T19:04:00MadPooManual testingCABC0E9A8746686F0.094


PRP results:
dateuseridcompidcofactorsres64PRP
2020-02-20T05:29:58Jinyuan WangManual testing
648566394386280607666991
AA3D2A2A78713289no
2020-02-20T13:21:54AbsolutXTR750D
648566394386280607666991
AA3D2A2A78713289no


P-1 factor-bounds graph:
B1 = 1726471, B2 = 189911810 (P-1 stage 2)
B1 = 1726471, B2 = 172647100 (P-1 stage 2)
B1 = 3642200, B2 = 123456789 (P-1 stage 2)
B1 = 1726471, B2 = 69058840 (P-1 stage 2)
B1 = 3642200 (P-1 stage 1)
B1 = 1726471, B2 = 17264710 (P-1 stage 2)
B1 = 1726471 (P-1 stage 1)
B1 = 1561010 (P-1 stage 1)
B1 = 1419100 (P-1 stage 1)
B1 = 1290091 (P-1 stage 1)
B1 = 1172810 (P-1 stage 1)
B1 = 1066191 (P-1 stage 1)
B1 = 969265 (P-1 stage 1)
B1 = 881150 (P-1 stage 1)
B1 = 801046 (P-1 stage 1)
B1 = 728224 (P-1 stage 1)
B1 = 601839 (P-1 stage 1)
B1 = 497389 (P-1 stage 1)
B1 = 452172 (P-1 stage 1)
B1 = 411066 (P-1 stage 1)
B1 = 373697 (P-1 stage 1)
B1 = 280765 (P-1 stage 1)
B1 = 187177 (P-1 stage 1)
B1 = 90000, B2 = 1530000 (P-1 stage 2)
B1 = 150000 (P-1 stage 1)
B1 = 100000 (P-1 stage 1)
B1 = 90000 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2020-05-18T10:38:09+00:00